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If the error in the measurement of radiu...

If the error in the measurement of radius of a sphere in `2%` then the error in the determination of volume of the spahere will be

A

`4%`

B

`6%`

C

`8%`

D

`2%`

Text Solution

Verified by Experts

The correct Answer is:
B
`(Deltar)/(r) xx 100 = 2%`
`V=4/3 pi r^3`
`(DeltaV)/V xx 100 =((Deltar)/r xx 100)`
`= 3 xx 2% = 6%`
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